TY - CHAP AU - Fernández, Marisa AU - Muñoz, Vicente A4 - Kowalski, Oldrich A4 - Musso, Emilio A4 - Perrone, Domenico PY - 2005 DO - 10.1007/0-8176-4424-5_8 SN - 978-0-8176-3850-4 UR - https://hdl.handle.net/20.500.14352/53236 AB - We show that there exist non-formal compact oriented manifolds of dimension n and with first Betti number b 1 = b ≥ 0 if and only if n ≥ 3 and b ≥ 2, or n ≥ (7 − 2b) and 0 ≤ b ≤ 2. Moreover, we present explicit examples for each one of these cases. LA - eng M2 - 121 PB - SpringerLink KW - Real homotopy KW - Formal manifolds KW - Massey products TI - The Geography of Non-Formal Manifolds TY - book part ER -